Seth is using the figure shown below to prove the pythagorean theorem using triangle similarity:

in the given triangle pqr, angle p is 90° and segment ps is perpendicular to segment qr.

! the figure shows triangle pqr with right angle at p and segment ps. point s is on side qr.

part a: identify a pair of similar triangles. (2 points)

part b: explain how you know the triangles from part a are similar. (4 points)

part c: if rs = 4 and rq = 16, find the length of segment rp. show your work. (4 points)

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.